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Twist decomposition of nonlocal light-cone operators. II: General tensors of 2nd rank. (English) Zbl 0984.81178

Summary: For Part I see B. Geyer, M. Lazar and D. Robaschik, ibid. 559, 339-377 (1999; Zbl 0957.81091). A group theoretical procedure, introduced earlier in part I, to decompose bilocal light-ray operators into (harmonic) operators of definite twist is applied to the case of arbitrary 2nd rank tensors. As a generic example the bilocal gluon operator is considered which gets contributions of twist-2 up to twist-6 from four different symmetry classes characterized by corresponding Young tableaux; also the twist decomposition of the related vector and scalar operators is considered. In addition, we extend these results to various trilocal light-ray operators, like the Shuryak-Vainshtein, the three-gluon and the four-quark operators, which are required for the consideration of higher-twist distribution amplitudes. The present results rely on the knowledge of harmonic tensor polynomials of any order n which have been determined up to the case of 2nd rank symmetric tensors for arbitrary space-time dimension.

MSC:

81V05 Strong interaction, including quantum chromodynamics
81R05 Finite-dimensional groups and algebras motivated by physics and their representations

Citations:

Zbl 0957.81091
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References:

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